Cremona's table of elliptic curves

34848 = 2⁵ · 3² · 11²

Field	Data	Notes
Atkin-Lehner	2+ 3- 11-	Signs for the Atkin-Lehner involutions
Class	34848t	Isogeny class
Conductor	34848	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	523695427301376 = 212 · 38 · 117	Discriminant
Eigenvalues	2+ 3-  2  0 11-  6  2 -4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-576444,-168451360]	[a1,a2,a3,a4,a6]
Generators	[3492167054140:-31069710456525:3825694144]	Generators of the group modulo torsion
j	4004529472/99	j-invariant
L	7.2147951088094	L(r)(E,1)/r!
Ω	0.17326502999932	Real period
R	20.820113293599	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	34848bz4 69696cq1 11616t3 3168u3	Quadratic twists by: -4 8 -3 -11

Hecke Eigenvalues for elliptic curve 34848t4

a2	a3	a5	a7	a11	a13	a17	a19	a23	a29	a31	a37	a41	a43	a47	a53	a59	a61	a67	a71	a73	a79	a83	a89	a97
+	-	2	0	-	6	2	-4	-4	2	4	-2	10	-4	-4	-6	-12	6	4	-4	-10	-16	-4	-10	2

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Quadratic twists for elliptic curve 34848t4

-4	8	-3	-11
34848bz4	69696cq1	11616t3	3168u3

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Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
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